Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
424 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 132 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #91781 | C2 | semidirect |
| 2. C5×#897 | C2 | semidirect |
| 3. C3×#4034 | C2 | semidirect |
| 5. #91383 | C2 | semidirect |
| 6. #91367 | C2 | semidirect |
| 7. #91338 | C2 | semidirect |
| 8. #91337 | C2 | semidirect |
| 9. Dic5×Dic6 | C2 | semidirect |
| 10. #91331 | C2 | semidirect |
| 44. #4034 | D3 | semidirect |
| 70. #897 | D5 | semidirect |
| 225. C3×C5 | #556 | semidirect |
| 268. C5 | #5732 | semidirect |
| 285. C3 | #65975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91781 | 2 |
| C5×#897 | 2 |
| C3×#4034 | 2 |
| C4×#1203 | 2 |
| #91383 | 2 |
| #91367 | 2 |
| #91338 | 2 |
| #91337 | 2 |
| Dic5×Dic6 | 2 |
| #91331 | 2 |
| #91326 | 2 |
| #65975 | 3 |
| #5732 | 5 |